MULTIFRACTAL ELECTRONIC WAVE-FUNCTIONS IN DISORDERED-SYSTEMS

被引：1

作者：

GRUSSBACH, H ^{[1
]}

SCHREIBER, M ^{[1
]}

机构：

[1] UNIV MAINZ,INST PHYS CHEM,JAKOB WELDER WEG 11,W-6500 MAINZ,GERMANY

来源：

JOURNAL OF LUMINESCENCE | 1992年 / 53卷 / 1-6期

关键词：

D O I：

10.1016/0022-2313(92)90125-S

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

To investigate the electronic states in disordered samples we diagonalize very large secular matrices corresponding to the Anderson Hamiltonian. The resulting probability density of single electronic eigenstates in 1-, 2-, and 3-dimensional samples is analysed by means of a box-counting procedure. By linear regression we obtain the Lipschitz-Holder exponents and the corresponding singularity spectrum, typical for a multifractal set in each case. By means of a Legendre transformation the mass exponents and the generalized dimensions are derived. Consequences for spectroscopic intensities and transport properties are discussed.

引用

页码：137 / 142

页数：6

共 15 条

[1] CRITICAL-BEHAVIOR OF EXTENDED STATES IN DISORDERED-SYSTEMS [J].

AOKI, H .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (06) :L205-L208

[2] FRACTAL DIMENSIONALITY OF WAVE-FUNCTIONS AT THE MOBILITY EDGE - QUANTUM FRACTAL IN THE LANDAU-LEVELS [J].

AOKI, H .

PHYSICAL REVIEW B, 1986, 33 (10) :7310-7313

[3] DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].

CHHABRA, A ;

JENSEN, RV .

PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330

[4] ANOMALIES IN THE MULTIFRACTAL ANALYSIS OF SELF-SIMILAR RESISTOR NETWORKS [J].

FOURCADE, B ;

TREMBLAY, AMS .

PHYSICAL REVIEW A, 1987, 36 (05) :2352-2358

[5] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[6] ON THE FRACTAL DIMENSIONALITY OF THE EXTENDED STATES IN DISORDERED TWO-DIMENSIONAL SYSTEMS IN A STRONG MAGNETIC-FIELD [J].

KRAMER, B ;

ONO, Y ;

OHTSUKI, T .

SURFACE SCIENCE, 1988, 196 (1-3) :127-133

[7] STATISTICAL-MECHANICAL THEORY OF IRREVERSIBLE PROCESSES .1. GENERAL THEORY AND SIMPLE APPLICATIONS TO MAGNETIC AND CONDUCTION PROBLEMS [J].

KUBO, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1957, 12 (06) :570-586

[8] MULTIFRACTALITY AND SCALING IN DISORDERED MESOSCOPIC SYSTEMS [J].

POOK, W ;

JANSSEN, M .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 82 (02) :295-298

[9]

RASHBA EI, 1962, FIZ TVERD TELA, V4, P759

[10] FRACTAL CHARACTER OF EIGENSTATES IN WEAKLY DISORDERED 3-DIMENSIONAL SYSTEMS [J].

SCHREIBER, M .

PHYSICAL REVIEW B, 1985, 31 (09) :6146-6149

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